Question

please expand 7/4(8h+3)

Answer 1

To expand the expression \( \frac{7}{4}(8h + 3) \), you need to distribute \( \frac{7}{4} \) to both terms inside the parentheses.

Here’s how you do it step by step:

1. Distribute \( \frac{7}{4} \) to \( 8h \):
\[
\frac{7}{4} \times 8h = \frac{7 \times 8h}{4} = \frac{56h}{4} = 14h
\]

2. Distribute \( \frac{7}{4} \) to \( 3 \):
\[
\frac{7}{4} \times 3 = \frac{7 \times 3}{4} = \frac{21}{4}
\]

Now, combine the results:
\[
\frac{7}{4}(8h + 3) = 14h + \frac{21}{4}
\]

So, the expanded form of the expression is:
\[
14h + \frac{21}{4}
\]